# pythagorean theorem๐๐๐

### what does it mean???!! How do we use it??

## who named it pythagorean theorem??๐๐

The man on the right is called pythagores, he was the one who discoverd pythagorean theorem so it was named like him.However, he is a greek philosopher and mathematician .His rule is: In a right triangle the square of the length of the hypotenuse is equal to the sum of the squares of the length of other 2 sides. The converse of what he discovered is: if the length of the square of the hypotenuse is equal to the square of the sum of the other 2 sides then this triangle is right.

## history!!!!!

More than 4000 years ago,the babyloneans and the chinese already knew that a triangle with the sides 3,4,and 5 must be a right triangle.They used this knowledge to construct right angles. Then a greek scholar named pythagoras was also fascinated by right triangles with these special side rations.He studied them a bit closer and found that the 2 shorter sides of the triangle squared then added together , equal exactly the square of the longest side. And he proved that this doesnt only work for triangles,bur for only right triangles. So, c ^2=a^+b^2

## artists (real life sollution) If the artist needs to draw characters with right faces then he could use the pythagorean theorem to construct his face. ( as in the famous character in the figure.) Example: a^2 + b^2=c^2 | ## cycologists (real life sollution) To know the distance from the river to any point on the tree of a land a cycologist may use pythagorean theorem to discover this distance. Example: locate point c on any part of the land then a point A on the river and point B on a tree.To know the distance he should add the squares of the length of the other 2 sides. | ## finding distances (real life sollution) Example : A house is 12 feet tall. A man is standing 5 feet far from the house. To know the distance from his feet to the top of the house,he can use pythagorean theorem : distance^2=height of the house^2 +distance between the man ans the house^2=144+25=139 .So the distance from his feet to the top of the house=13 |

## artists (real life sollution)

If the artist needs to draw characters with right faces then he could use the pythagorean theorem to construct his face. ( as in the famous character in the figure.) Example: a^2 + b^2=c^2

## cycologists (real life sollution)

To know the distance from the river to any point on the tree of a land a cycologist may use pythagorean theorem to discover this distance. Example: locate point c on any part of the land then a point A on the river and point B on a tree.To know the distance he should add the squares of the length of the other 2 sides.

## finding distances (real life sollution)

Example : A house is 12 feet tall. A man is standing 5 feet far from the house. To know the distance from his feet to the top of the house,he can use pythagorean theorem : distance^2=height of the house^2 +distance between the man ans the house^2=144+25=139 .So the distance from his feet to the top of the house=13

## pythagorean theorem in real life To know the measure of each side of a football playground | ## pythagorean theorem in real life In T-squares .we have the length of the first side and of the second and 1 right angle ,so we can easily find the length of the third side by pythagorean theorem | ## right triangles in real life Right triangled food shape like pizza |

## pythagorean theorem in real life

In T-squares .we have the length of the first side and of the second and 1 right angle ,so we can easily find the length of the third side by pythagorean theorem

## right triangles in real life | ## right angles in real life We draw a diogonal of a rectangled television, it will be the hypotenuse of the triangle.so we will have 1 right angle ,hypotenuse and 2 other sides . | ## right angled triangles in real life Pyramids |

The Simplest Way To Prove the Pythagorean Theorem